Find the Distance Between Two Points (-3,-4) and (-7,-9)

$(- 3, - 4)$ and $(- 7, - 9)$

Step 1

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

$\sqrt{{((- 7) - (- 3))}^{2} + {((- 9) - (- 4))}^{2}}$

Step 3

Simplify.

Multiply $- 1$ by $- 3$ .

$\sqrt{{(- 7 + 3)}^{2} + {((- 9) - (- 4))}^{2}}$

Add $- 7$ and $3$ .

$\sqrt{{(- 4)}^{2} + {((- 9) - (- 4))}^{2}}$

Raise $- 4$ to the power of $2$ .

$\sqrt{16 + {((- 9) - (- 4))}^{2}}$

Multiply $- 1$ by $- 4$ .

$\sqrt{16 + {(- 9 + 4)}^{2}}$

Add $- 9$ and $4$ .

$\sqrt{16 + {(- 5)}^{2}}$

Raise $- 5$ to the power of $2$ .

$\sqrt{16 + 25}$

Add $16$ and $25$ .

$\sqrt{41}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{41}$

Decimal Form:

$6.40312423 \dots$

Step 5